Markov extensions and decay of correlations for certain Henon maps
2000 (English)In: Astérisque, ISSN 0303-1179, no 261, 13-56 p.Article in journal (Refereed) Published
Henon maps for which the analysis in [BC2] applies are considered. Sets with good hyperbolic properties and nice return structures are constructed and their return time functions are shown to have exponentially decaying tails. This sets the stage for applying the results in [Y]. Statistical properties such as exponential decay of correlations and central limit theorem are proved.
Place, publisher, year, edition, pages
2000. no 261, 13-56 p.
Henon map, Markov extension, decay of correlation, central limit theorem
IdentifiersURN: urn:nbn:se:kth:diva-19673ISI: 000086423200004OAI: oai:DiVA.org:kth-19673DiVA: diva2:338365
QC 201005252010-08-102010-08-10Bibliographically approved